A First-Quantized Formalism for Cosmological Particle Production

Abstract

We show that the amount of particle production in an arbitrary cosmological background can be determined using only the late-time positive-frequency modes. We don't refer to modes at early times, so there is no need for a Bogolubov transformation. We also show that particle production can be extracted from the Feynman propagator in an auxiliary spacetime. This provides a first-quantized formalism for computing particle production which, unlike conventional Bogolubov transformations, may be amenable to a string-theoretic generalization.

arXiv comment18 pages, LaTeX; v2: significantly revised for clarity; conclusions unchanged

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• Reduced Hamiltonian for intersecting shells
• Cosmological Particle Creation in the Presence of Lorentz Violation
• String Pair Production in a Time-Dependent Gravitational Field
• Cosmological particle creation in a hadronic fluid